Bachelor's Programme Mathematics
Faculty | Faculty of Mathematics, Computer Science and Physics |
Duration / ECTS-Credits | 6 semesters / 180 ECTS-Credits |
Academic Degree |
Bachelor of Science (BSc) |
Qualification Level |
Bachelor (First Cycle) ISCED-11: Level 6, EQF/NQF: Level 6 |
ISCED-F | 0541 Mathematics |
Mode of Study |
Full-Time |
Study Code |
UC 033 201 |
Curriculum | Information on the Curriculum (2007W) * |
Language of Instruction | German |
Admission Requirements | Secondary school completion certificate or equivalent and Language Certificates |
PODCAST | http://streaming.uibk.ac.at/medien/c102/c1021067/Podcasts/Studienpodcasts /TechnMathe.mp3 |
Application |
* Information on the Curriculum
The complete version of the curriculum reflects the currently valid version of the curriculum. It is for informational purposes only and is not legally binding. The legally binding version of the curriculum, including any amendments, may be found in the University of Innsbruck Bulletins.
In order to determine which version of the curriculum is applicable in your case, see the Catalogue of Studies,
available at: https://lfuonline.uibk.ac.at/public/lfuonline_meinestudien.studienblatt
Section: Current Curriculum version.
University of Innsbruck Bulletins » (Click to open all University of Innsbruck Bulletins)
- English version of the Curriculum (from October 1st 2019)
- University of Innsbruck Bulletin March 4 2020, Issue 17, No. 260 (amendment of the curriculum)
- University of Innsbruck Bulletin May 24 2019, Issue 49, No. 474 (modification of the curriculum)
- English version of the Curriculum (from October 1st 2016)
- University of Innsbruck Bulletin March 15th 2017, Issue 29, No. 339 (Equivalence list)
- University of Innsbruck Bulletin May 2nd 2016, Issue 24, No. 375 (modification of the curriculum)
- English version of the Curriculum (from October 1st 2014)
- Curriculum/Consolidated version (from October 1st 2014)
- University of Innsbruck Bulletin June 13th 2014, Issue 27, No. 476 (modification of the curriculum)
- English version of the Curriculum
- Curriculum/Consolidated version (from October 1st 2011)
- University of Innsbruck Bulletin June 16th 2011, Issue 31, No. 484 (modification of the curriculum)
- Curriculum/Consolidated version (from October 1st 2010)
- University of Innsbruck Bulletin June 23rd 2010, Issue 42, No. 333 (modification of the curriculum)
- University of Innsbruck Bulletin October 15th 2008, Issue 2, No. 13 (amendment of the curriculum)
- University of Innsbruck Bulletin April 23rd 2007, Issue 32, No. 196
Studies Induction and Orientation Stage (STEOP)
Studies Induction and Orientation Stage (STEOP) starting winter term 2016 »
(1) Within the scope of the Studies Induction and Orientation Stage, which takes place in the first semester, the following course examinations must be passed:
1. VO Linear Algebra and Analytic Geometry 1 (CM 1 lit. a/3 hrs. /4.5 ECTS-Credits),
2. VO Analysis 1 (CM 2 lit. a/3 hrs. /4.5 ECTS-Credits).
(2) Successful passing of all exams of the Studies Induction and Orientation Stage entitles to passing all further courses and examinations as well as to writing the Bachelor's Thesis.
(3) Before successful completion of the Studies Induction and Orientation Stage courses amounting to 21 ECTS-Credits may be passed. The requirements specified in the curriculum must be met.
Studies Induction and Orientation Stage (STEOP) until december 2015 »
(1) The Studies Induction and Orientation Stage (STEOP), with a duration of one semester (30 ECTS-Credits), provides an overview of the study programme and its structure in order to give students an objective basis to assess their decision to pursue their chosen subjects.
(2) During the Studies Induction and Orientation Stage, the following course examinations, which may be repeated twice, must be completed satisfactorily:
- Linear Algebra and Analytic Geometry, SL1, 2.5 ECTS-Credits, from Module 1
- Analysis 1, SL1, 2.5 ECTS-Credits, from Module 2
- Mathematics - Studies and Profession, VO1, 0.5 ECTS-Credits, from Module 4
(3) A positive result (passing grade) on the examinations specified in Paragraph 2 permits students to attend all courses and take all examinations following the Introduction and Orientation Phase for Students (STEOP) and to write a bachelor's thesis as described in the curriculum. The registration requirements specified by the curriculum must be met.
Recommended Course Sequence
The exemplary course sequence given below is recommended for full-time students beginning their study programme in the winter semester. The table shows one possible course sequence for the bachelor's programme and is not compulsory. Delays resulting from repeated examinations are not taken into account.
The standard duration of the study programme is 6 semesters or 180 ECTS-Credits, whereby according to the Universities Act of 2002, a workload of 1,500 (real) hours per academic year must be fulfilled, corresponding to 60 ECTS-Credits (one ECTS-Credit is equivalent to a workload of 25 hours).
The bridge course mathematics is recommended to first year students in the Bachelor's programmes Technical Mathematics and School Teacher Training Mathematics. The bridge course offers support for first year students to ease the transition from school to university.
10.0 ECTS-Credits: Linear Algebra and Analytic Geometry 1
10.0 ECTS-Credits: Analysis 1
5.0 ECTS-Credits: Practical Exercises
5.0 ECTS-Credits: Scientific working and Profession
10.0 ECTS-Credits: Linear Algebra and Analytic Geometry 2
10.0 ECTS-Credits: Analysis 2
10.0 ECTS-Credits: Stochastics 1
7.5 ECTS-Credits: Algebra 1
10.0 ECTS-Credits: Analysis 3 (Ordinary Differential Equation an Function Theory)
5.0 ECTS-Credits: Statistics
7.5 ECTS-Credits: Numerical Mathematics 1
7.5 ECTS-Credits: Discrete Mathematics
7.5 ECTS-Credits: Numerical Mathematics 2
7.5 ECTS-Credits: Algebra 2
7.5 ECTS-Credits: Partial Differential Equations
7.5 ECTS-Credits: Geometry
7.5 ECTS-Credits: Stochastics 2
5.0 ECTS-Credits: Subdisciplines of Mathematics
2.5 ECTS-Credits: Auxilary skills
7.5 ECTS-Credits: Modelling
7.5 ECTS-Credits: Optimisation
7.5 ECTS-Credits: Seminar with Bachelor’s Thesis
7.5 ECTS-Credits: Auxilary skills
Qualification Profile and Skills
The Bachelor’s Programme Technical Mathematics prepares graduates for occupational opportunities as mathematicians in industry and economy, and for the Master’s Programme Technical Mathematics. Graduates are able to recognize mathematical issues in natural science, engineering, economy and medicine, to analyse and mathematically model and solve them using a computer.
The programme conveys:
- basic knowledge of algebra, analysis, discrete mathematics, geometry, numerical mathematics, probability theorey and statistics,
- in-depth knowledge of applied branches in these subjects,
- training of creative, analytical and sound reasoning,
- the ability to independently develop mathematical knowledge,
- knowledge of the efficient use of mathematical software,
- the ability to work in a team as well as to present and document results.
Expected Learning Outcomes
Graduates are able to elaborate, evaluate and implement scientific developments in the core fields of mathematics (algebra, analysis, discrete mathematics, geometry, numerical mathematics, probability theorey and statistics) and to apply them in interdisciplinary contexts. They possess multidisciplinary skills, such as the ability to work in a team, and to clearly present and document results.
Future Prospects: Occupational Profiles and Career Opportunities
The career fields range from high-tech industry, telecommunications and information technology to logistics, banks, insurances and statistical offices. For the access to highly qualified activities in these areas, completion of the Master’s Programme Technical Mathematics is recommended. Occupational profiles of graduates of the bachelor’s programme can be found in fields where problem-solving capacities and specially trained analytical and systematic thinking are required (e.g. management, administration or consulting companies).
Postgraduate and further Studies at the University of Innsbruck
Supplementary Programme
Within the scope of the Study Programme, a Supplementary Programme corresponding to 60 ECTS-Credits may be passed. Admission to the Supplementary Programme requires the admission to or the having passed of one of the selected Study Programmes. Detailed information:
- https://www.uibk.ac.at/studium/angebot/es-informatik/
- https://www.uibk.ac.at/studium/angebot/es-scientific-computing/
Information about examination regulations, assessment and grading
Examination regulations
The examination regulation is an integral part of the curriculum, detailed information can be found under the paragraph examination regulations.
Description of the applied grading system (including the grade distribution table) »
The grade distribution table is a statistical representation of the distribution of all successfully completed examinations in a given programme of study or subject (based on all registered students for the programme or subject). The grade distribution table is updated in regular intervals.
Austrian grading scheme |
Definition |
%-age |
||
1 | EXCELLENT: Outstanding performance |
34.4 |
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= 100% |
2 |
GOOD: Generally good, but with some errors |
25.7 | ||
3 | SATISFACTORY: Generally sound work with a number of substantial errors |
23.2 | ||
4 | SUFFICIENT: Performance meets the minimum criteria |
16.7 | ||
5 | INSUFFICIENT: Substantial improvement necessary; requirement of further work |
December 2021
Overall classification of the qualification
Not applicable
Explanation: An overall classification (mit Auszeichnung bestanden/pass with distinction, bestanden/pass, nicht bestanden/fail) – is awarded only for examinations that conclude a programme of study and consist of more than one subject (an examination of this type is not specified in the curriculum of this programme of study).
Information about the Programme (in German only)
Forms (in German only)
- Evidence of the Bachelor's Thesis according to the curriculum
- Examination Records
- Cover Sheet for the Bachelor's Thesis (to be handed in at the institute - the deckblatt.tex file including the UIBK_logo.pdf must be included in the main.tex of the respective paper. This is done via the \include{deckblatt.tex} command at the beginning of the document).
- Declaration of Academic Honesty
- Application for Admission to the third and fourth repetition of a course examination
Recognition of exams
Contakt and Information
Examination Office
Standort Technikerstraße 17
Associate Dean of Studies (from April 1st, 2023)
Univ.-Prof. Dipl.-Ing. Lukas Einkemmer, BSc MSc PhD
Dean of Studies
Univ.-Prof. Dr. Thomas Franosch